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Finding the Fourth Proportional to 206.69, 286.40 and 204.17

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Solution

The fourth proportional to 206.69, 286.40 and 204.17 is: 282.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.69 : 286.40 = 204.17 : x
  2. Step 2: Convert to fraction form
    206.69/286.40 = 204.17/x
  3. Step 3: Cross multiply
    206.69x = 286.40 × 204.17
  4. Step 4: Simplify right side
    206.69x = 58,471.84
  5. Step 5: Solve for x
    x = 58,471.84/206.69
  6. Step 6: Final answer
    x = 282.90

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.